4787431520400 has 135 divisors (see below), whose sum is σ = 16614172812601. Its totient is φ = 1276613397120.

The previous prime is 4787431520393. The next prime is 4787431520419. The reversal of 4787431520400 is 40251347874.

The square root of 4787431520400 is 2188020.

It is a perfect power (a square), and thus also a powerful number.

4787431520400 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 431 + 5 + 204 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1723475347344 + 3063956173056 = 1312812^2 + 1750416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 131262967 + ... + 131299433.

Almost surely, 2^{4787431520400} is an apocalyptic number.

4787431520400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4787431520400 is the 2188020-th square number.

It is an amenable number.

4787431520400 is an abundant number, since it is smaller than the sum of its proper divisors (11826741292201).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4787431520400 is an frugal number, since it uses more digits than its factorization.

4787431520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72958 (or 36477 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4787431520400 in words is "four trillion, seven hundred eighty-seven billion, four hundred thirty-one million, five hundred twenty thousand, four hundred".